111011001001001 has 8 divisors (see below), whose sum is σ = 111120735894024. Its totient is φ = 110901316976640.

The previous prime is 111011001000983. The next prime is 111011001001013. The reversal of 111011001001001 is 100100100110111.

It can be written as a sum of positive squares in 4 ways, for example, as 38994392213401 + 72016608787600 = 6244549^2 + 8486260^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-111011001001001 is a prime.

It is a Duffinian number.

111011001001001 is a modest number, since divided by 1001001 gives 111011 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 111011001001001.

It is not an unprimeable number, because it can be changed into a prime (111011001007001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8349656 + ... + 17080361.

It is an arithmetic number, because the mean of its divisors is an integer number (13890091986753).

Almost surely, 2^{111011001001001} is an apocalyptic number.

It is an amenable number.

111011001001001 is a deficient number, since it is larger than the sum of its proper divisors (109734893023).

111011001001001 is a wasteful number, since it uses less digits than its factorization.

111011001001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25434331.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 111011001001001 its reverse (100100100110111), we get a palindrome (211111101111112).

The spelling of 111011001001001 in words is "one hundred eleven trillion, eleven billion, one million, one thousand, one".